Question

Simplify:

\[\left( \frac{3}{2} \times \frac{1}{6} \right) + \left( \frac{5}{3} \times \frac{7}{2} \right) - \left( \frac{13}{8} \times \frac{4}{3} \right)\]

Answer 1

\[(\frac{3}{2} \times \frac{1}{6}) + (\frac{5}{3} \times \frac{7}{2}) - (\frac{13}{8} \times \frac{4}{3})\]
\[ = \frac{1}{4} + \frac{35}{6} - \frac{13}{6}\]
\[ = \frac{1 \times 3 + 35 \times 2 - 13 \times 2}{12}\]
\[ = \frac{3 + 70 - 26}{12}\]
\[ = \frac{47}{12}\]